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Finding the Fourth Proportional to 1,754.49, 2,631.42 and 455.88

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Solution

The fourth proportional to 1,754.49, 2,631.42 and 455.88 is: 683.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.49 : 2,631.42 = 455.88 : x
  2. Step 2: Convert to fraction form
    1,754.49/2,631.42 = 455.88/x
  3. Step 3: Cross multiply
    1,754.49x = 2,631.42 × 455.88
  4. Step 4: Simplify right side
    1,754.49x = 1,199,611.75
  5. Step 5: Solve for x
    x = 1,199,611.75/1,754.49
  6. Step 6: Final answer
    x = 683.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.